849218880 has 112 divisors (see below), whose sum is σ = 2813572224. Its totient is φ = 216606720.

The previous prime is 849218873. The next prime is 849218921. The reversal of 849218880 is 88812948.

It is a super-2 number, since 2×849218880² = 1442345412296908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2850 + ... + 41310.

Almost surely, 2^849218880 is an apocalyptic number.

849218880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406786112).

849218880 is an abundant number, since it is smaller than the sum of its proper divisors (1964353344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

849218880 is a wasteful number, since it uses less digits than its factorization.

849218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38504 (or 38494 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The square root of 849218880 is about 29141.3602976937. The cubic root of 849218880 is about 946.9779795632.

It can be divided in two parts, 8492 and 18880, that added together give a palindrome (27372).

The spelling of 849218880 in words is "eight hundred forty-nine million, two hundred eighteen thousand, eight hundred eighty".